external image 16388158_1457730914237181_3963304819511790555_n.jpg?oh=81d24434190abd7a25ac06677b706554&oe=5A35634D



Important Requirements

All students are required to
  • Be able to perform simple programming tasks using any platform (preferably Octave)
  • Homework, Projects, and all other assignments will be submitted in electronic format
  • No homework assignments need to be submitted, they are just for personal practice and solutions will be provided.

Course Objectives

This course is designed to introduce the learner to the principles of structural vibration. It introduced the concepts of multiple degree of freedom systems and simple structures and their applications. The learner will be able to analyze and design the dynamics of simple structures under harmonic and general excitations in the frequency and time domains.

Assessment Tools

T1: Examinations/Tests
T3: Group Projects
T6: Student Survey

Course Intended Learning Outcomes

By the end of this course, the student will be able to:

ILO#
Description
Assessment
Tool
Program
ILO
1
Evaluate the natural frequencies and mode shapes of multiple degree of freedom systems
T1,T6
1
2
Evaluate the frequency response of multiple degree of freedom systems
T1,T6
1
3
Design vibration absorbers
T1,T6
1
4
Understand the basics of vibration attenuation and instability
T1,T6
1
5
Determine the natural frequencies and mode shapes of simple continuous structures
T1,T6
1
6
Apply the concepts of periodic structures on bars and beams
T1,T6
10
7
Create an experiment to analyze the vibration of structures
T1,T6
2,4,5,11
8
Understand the basic concepts of aeroelasticity.
T1,T6
10
10
Work in a multifunctional team
T3,T6
4
11
Prepare and present technical work results
T3,T6
2,7,11

References

  • Lecture Notes
  • Online resources
  • Engineering Vibration, 4th Edition, Daniel J. Inman,

Topics and Schedule

Week #
Topic
Practice and Assessment
ILO's
1
5/2/2017
Introduction
- Course outline and Objectives
- Course Assessment
- Why we study Vibration
- The concept of resonance
- The concept of vibration control
- The concept of vibration based health monitoring

Discrete Systems
- What is a degree of freedom
- Single degree of freedom systems
- Mass-Spring Systems
- Equation of motion
- Solving the equation of motion
- The natural frequency and resonance
- Presenting the solution in different forms
- Response to harmonic excitations – Time and frequency domains
- Examples
- Pendulum
- Inverted pendulum and instability
- Base excitation
- ...

1,4
2
12/2/2017
Damping
- What is damping
- Different types of damping
- The dash-pot damper
- Equation of motion for mass-spring-damper system
- Solving the equation of motion
- The damped natural frequency
- Different presentations of the solution
- Effect of damping on resonance – Time response
- Effect of damping on resonance – Frequency response
- Critical damping
- Examples
- ...

1
3
19/2/2017
Response to Non-Harmonic Excitation
- ...

1
4
26/2/2017
2-Degree of freedom (2-DOF) systems
- Examples of 2-DOF
- Equations of motion for discrete mass-spring system
- Solving the equations of motion
- Natural frequencies
- Mode shapes
- Time domain response
- Frequency response
- The vibration absorber
- Introducing damping
- Examples
- Car and wheel
Vibration Absorber

Hamilton method of deriving equations of motion
- Potential energy
- Kinetic Energy
- External work
- Hamilton method
- Deriving the equations for 2-DOF system
- Deriving the equations for pendulum and cart problem

2,3
5
5/3/2017
Introduction to vibration Attenuation
- Viscoelastic Damping
- Piezoelectric Materials
- MR Fluids
- Periodic Structures
- Active vibration Control
- Critical speeds for shafts
First presentation of project
4
6
12/3/2017
Continuous Structures
- Vibration of cables and strings
- Equations of motions
- Solving the equations of motions
- Natural frequencies
- Mode shapes
Midterm #1
5
7
19/3/2017
Vibration of bars
- Equations of motions
- Boundary conditions
- Solving the equations of motion
- Natural frequencies and mode shapes
- Special boundary conditions
- Periodic bars
- Damping of bar vibration using viscoeleastic materials
- Vibration control using piezoelectric material
Second Presentation of project
5,6
8
26/3/2017
Vibration of Shafts
- Equations of motions
- Boundary conditions
- Solving the equations of motion
- Natural frequencies and mode shapes
- Special boundary conditions

5
9
2/4/2017
Vibration of Beams
- Equations of motions
- Boundary conditions
- Solving the equations of motion
- Natural frequencies and mode shapes
- Special boundary conditions

5
10
9/4/2017
Vibration of beams
- Effect of axial loading on natural frequencies
- Periodic beams
Third presentation of project
5,4,6
11
16/4/2017
Spring Break


12
23/4/2017
The finite Element method for vibration
Midterm #2
5
13
30/4/2017
Vibration of membranes and plates

8
14
7/5/2017

Final presentation of project
Course Project due
8
15
14/5/2017
Introduction to Aeroelasticity-Wing Divergence
- Control Reversal



Assessment

20% Final (You must obtain at least 50% of the final score to pass the course)
15% Midterms 7th, 12th week(All counted)
5% Random pop-quizzes (3-8 quizzes) (All counted)
60% Course Project

Course Project

Topics

All experiments will utilize a shaker and a function generator
  • The topics should include the design and creation of a vibration experiment
  • All experiments should include the preparation and operation of a microcontroller-based data collection device that interface with a computer (Penalty up to 10% for using ready-made data collection devices)
  • All experiments should include the creation of software for analysis of the collected data based on open source packages or compilers (penalty up to 10% for use of ready-made analysis software, and another 10% for using non open source software or platform)
  • The mechanical design should be performed on open source packages except in the functions that are not available on any open source package. (penalty up to 10% for using non open source packages)

Teams

The team should include four to eight students who will devide themselves into subteams working on hardware ans software developments.

Project Evaluation

  • Project management (15%) (3 5-minute presentations by team coordinators)
    • Planning (40%)
    • Follow up (20%)
    • Corrective actions and replanning (40%)
  • Final Report (15%)
    • Technical report format (Cover, TOC, Introduction and literature survey, mathematical background, experimental design, results, conclusions, reference, appendices) (25%)
    • Rigour of literature survey (25%)
    • Details of the experimental design (25%)
    • Data collected from the experiment and its analysis (25%)
  • Experimental Hardware (20%)
    • Packaging (25%)
    • Ease of use and operability (25%)
    • Percision of measuements (25%)
    • Cost optimization (25%)
  • Data collection hardware (20%)
    • Packaging (25%)
    • Stability and reuseability (25%)
    • Ease of use and operability (25%)
    • Cost optimization (25%)
  • Software (20%)
    • Ease of use and operability (30%)
    • Accuracy (40%)
    • Output graphics (40%)
  • Final presentation (10%)
    • Public decimation of knowledge (Website. Wiki, videos, public slides, public reports, design graphics and charts, etc...) (25%)
    • Presentation graphics and appeal (15%)
    • Accuracy of presentation content (15%)
    • Comprehensability of presentation content (15%)
    • Audience capturing (10%)
    • Audience participation and reply to questions (10%)
    • Timing (10%)


Registration Form